PLEASE HELP FAST!A marble is selected from a bag containing eight marbles numbered 1 to 8.The number on the marble selected will be recorded as the outcome.Consider the following events.Event A: The marble selected has an even number.Event B: The marble selected has a number from 3 to 6.Give the outcomes for each of the following events.If there is more than one element in the set, separate them with commas.
Accepted Solution
A:
Answer:A and B: {4, 6}
A or B: {2, 3, 4, 5, 6, 8}
Complement of B: {1, 2, 7, 8}Step-by-step explanation:A and B refer to the elements that are in both A and B at the same time
The even numbers from 1 to 8 are {2, 4, 6, 8}
The numbers from 3 to 6 are {3, 4, 5, 6}
Look for the common elements between both sets.
A and B: {4, 6}
A or B is the union of the two sets
Join the elements of both sets
A or B: {2, 3, 4, 5, 6, 8}
The complement of B are all the elements that are not in B.
Write all the elements of the sample space except those of event B
Complement of B: {1, 2, 7, 8}